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A conditional probability is a probabilistic function.
It goes from a value x to a probability distribution of Y.
It is more general than a non-deterministic computation. You get a list of results with weights attached to it. (ignoring continuous distributions)
Grouping can be regarded as a non-deterministic computation.
It goes from a value x to a list of Y.
Computing averages or other aggregations from lists or distributions is another step.
https://dennybritz.com/posts/probability-monads-from-scratch...
https://github.com/mattearnshaw/lawvere/blob/master/pdfs/196...